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Martha is buying two shirts. Each shirt cost $20. She is considering two options to purchase the shirts.

Option A: Use the store- buy one shirt and get a second shirt at 50% off the original price.
Option B: Use a coupon for 30% off the entire purchase.

Show all steps for solving the cost for the shirts after the discount for both option A and option B.

1 answer

To compare the two options Martha has for purchasing the shirts, we will calculate the total cost after applying the discounts for both Option A and Option B.

Step 1: Calculate the cost without discounts.

Martha wants to buy two shirts, and each shirt costs $20.

\[ \text{Total cost without discounts} = 2 \times 20 = $40 \]

Option A: Buy one shirt and get the second shirt at 50% off

Step 2: Calculate the cost for Option A.

  1. Cost of the first shirt: $20

  2. Calculate the cost of the second shirt at 50% off:

    • 50% off of $20 is: \[ 50% \text{ of } 20 = 0.5 \times 20 = $10 \]
  3. Total cost for Option A: \[ \text{Total cost} = $20 + $10 = $30 \]

Option B: Use a coupon for 30% off the entire purchase

Step 3: Calculate the cost for Option B.

  1. Cost without discounts: $40 (calculated earlier).

  2. Calculate 30% discount: \[ 30% \text{ of } 40 = 0.3 \times 40 = $12 \]

  3. Total cost after applying the coupon: \[ \text{Total cost} = 40 - 12 = $28 \]

Summary of Costs:

  • Total cost for Option A: $30
  • Total cost for Option B: $28

Conclusion:

Martha should choose Option B since it has the lower total cost of $28 compared to Option A's $30.

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